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arXiv · 1311.5364

AdS Chern-Simons Gravity induces Conformal Gravity

Rodrigo Aros·Danilo E. Diaz
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Abstract

The leitmotif of this paper is the question of whether four- and higher even-dimensional Conformal Gravities do have a Chern-Simons pedigree. We show that Weyl gravity can be obtained as dimensional reduction of a five-dimensional Chern-Simons action for a suitable (gauged-fixed, tractor-like) five-dimensional AdS connection. The gauge-fixing and dimensional reduction program admits a readily generalization to higher dimensions for the case of certain conformal gravities obtained by contractions of the Weyl tensor.

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Rodrigo Aros, Danilo E. Diaz. 2013-11-21. AdS Chern-Simons Gravity induces Conformal Gravity. https://doi.org/10.1103/physrevd.89.084026

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